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Olympiad Chain Arithmetic - Absolute-Beginner Level: core concept mastery Olympiad Chain Arithmetic ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Olympiad Chain Arithmetic - a key topic in Arithmetic Problems. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master olympiad chain arithmetic problems, olympiad chain arithmetic reasoning questions, and olympiad chain arithmetic practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Olympiad Chain Arithmetic
Worksheet 1 of 10 (0% complete)

Question 1

In a group, 11 members are aged 34, 40 members aged 41. Find average age.
11 people age 34, 40 people age 41. Average = 39.5

Question 2

Investment returns in ratio 4:5, total ₹26011. If first investor gets 11560.44 at 20% ROI, find their investment.
Returns ratio 4:5, total ₹26011. Return1=11560.44 at 100% ROI, Investment=46241.78

Question 3

Investment returns in ratio 3:4, total ₹24716. If first investor gets 10592.57 at 20% ROI, find their investment.
Returns ratio 3:4, total ₹24716. Return1=10592.57 at 100% ROI, Investment=52962.86

Question 4

Average age of 8 people is 39. If a 28-year-old leaves, find new average.
Total 8 people avg 39 → total=312. Remove age 28, new avg=40.57142857142857

Question 5

Sum of first 4 terms of AP (a=295, d=99) is invested at 8% compound interest for 3 years. Find compound interest.
AP sum: 1774. CI on ₹1774 at 8% for 3 years = 460.73

Question 6

In AP (a=42, d=15, n=6), what % of total sum is the 2th term?
AP sum = 477, term2=57, percentage=11.9%

Question 7

Work efficiency: A = 2 units/day, B = 1 units/day. Total work 118 units. Difference in days to complete = ?
A efficiency=2, B=1, Work=118. A time=59.0, B time=118.0, Difference=59.0

Question 8

Sum of AP (a=3, d=4, n=5) + 3th term of GP (a=2, r=2) = ?
AP sum = 55, GP term = 8. Combined = 63.0

Question 9

A completes work in 10 days, B in 19 days. They work together and earn ₹10679. Find A's share.
A: 10 days, B: 19 days. Work ratio = 0.100:0.053. Profit 10679, A's share = 6996.59

Question 10

A invests ₹17755 for 7 months, B ₹37917 for 8 months. Total profit ₹18058. Find A's ROI percentage.
A: ₹17755 for 7m, B: ₹37917 for 8m. Profit 18058, A's ROI = 29.5602881991296%

Question 11

Find (CI - SI) on ₹4599 at 11% for 2 years.
P=4599, R=11%, T=2y. CI=1067.43, SI=1011.78, Difference=55.65

Question 12

Total capital ₹108233. A contributes 40%, B rest. Profit ₹12849. Find A's share.
Total ₹108233, A invests 40% (₹43293). Profit 12849, A's share=5139.6

Question 13

Find (CI - SI) on ₹1455 at 12% for 2 years.
P=1455, R=12%, T=2y. CI=370.15, SI=349.20, Difference=20.95

Question 14

A invests ₹15763 for 11 months, B ₹15118 for 9 months. Total profit ₹15145. Find A's ROI percentage.
A: ₹15763 for 11m, B: ₹15118 for 9m. Profit 15145, A's ROI = 53.83496792748542%

Question 15

Town population 25702, grows 8% annually for 2 years. Population increase invested at 8% SI for 2 years. Find interest.
Population 25702, growth 8% for 2y → increase 4277. SI at 8% for 2y = 684.32

Question 16

Work efficiency: A = 4 units/day, B = 3 units/day. Total work 105 units. Difference in days to complete = ?
A efficiency=4, B=3, Work=105. A time=26.25, B time=35.0, Difference=8.8

Question 17

Mix 2:1 of items costing ₹48 and ₹63 per kg. Total 92kg sold at 30% profit. Find profit amount.
Mixture 2:1 of ₹48 & ₹63. Total 92kg, cost=4876.00, SP=6338.80, Profit=1462.80

Question 18

₹2996 and ₹2052 at 8% for 4 years. Ratio of simple interests = ?
SI1=958.72, SI2=656.64, Ratio = 1.46:1

Question 19

In a group, 16 members are aged 24, 38 members aged 46. Find average age.
16 people age 24, 38 people age 46. Average = 39.5

Question 20

MP ₹1059, discount 15%, profit 10%. Find cost price.
MP=1059, Discount=15%, SP=900.15. Profit 10%, CP=818.32
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